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Is ABCD a parallelogram?
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Is ABCD a parallelogram?

Is ABCD a parallelogram?-example-1
User Dan Johnson
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1 Answer

2 votes

Answer:

Yes

Explanation:

We know that because AB and CD are parallel,

  • angles A and D are supplementary
  • angles B and C are supplementary

As supplements of congruent angles are congruent, this means angle B is congruent to angle C.

Thus, ABCD is a parallelogram because it is a quadrilateral with 2 pairs of opposite congruent angles.

User MLavoie
by
3.6k points
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